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Labrín started his career in the youth ranks of Huachipato, being successively promoted to the first team in 2008. Despite his young age and lack of experience, he immediately won the support of head coach Fernando Vergara, who regularly featured him in the starting lineup, including the Torneo Clausura 2008 and the Torneo Apertura 2009.

He moved back to Palermo during the winter transfer window due to lack of first team opportunities at Novara.[3] He made his Palermo debut only on 18 March 2012, as a surprise starting pick in an unusual 3–5–2 formation for a Serie A league game against Lecce, then being named in the starting lineup also for the two following games against Udinese and Bologna.

Labrín was called to the national team under-17 to dispute South American Under-17 Football Championships for the qualification to the Under-17 world cup South Corea 2007 which were eliminated from the qualifying. It also called the 2009 South American Youth Championship during the Apertura 2009, and later competed 2009 FIFA U-20 World Cup, playing 4 matches as captain. In the same year competed in the Toulon Tournament, winning the competition being named as "best player of the tournament".

He debuted with the national team under the guidance of Marcelo Bielsa in 2010.